2 of 4...QUESTION 2Forces are applied at points A and B of the solid cast-iron (E = 67 GPa) bracket as shown in Figure.Knowing that the bracket has a diameter of 20 mm, at point C, by neglecting the effect of transverseshear,determine:i. the states of stresses and sketch the stress element,ii. the principal planes, the magnitude of the principal stresses and sketch the orientation of the element,iii. the maximum in-plane shear stress planes, the magnitude of the normal and shear stresses on thatplanes, and sketch the orientation of the element,iv. the magnitude of the absolute maximum shear stress10 kN50 mm25 mmA100 mm2.5 kN

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Answered: 2 of 4 ... QUESTION 2 Forces are…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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a. Determine the principal stresses at point A on the cross section of the wrench at section a-a. Also Specify the orientation for this state of stress. b. Determine maximum in-plane shear stress at point A on the cross section of the wrench at section a-a. Also Specify the orientation for this state of stress.
Considering the original state of stress as shown in figure below and recalling the already developed equations for normal and shear stress at an angle Ɵ c.c.w from x-axis, mathematically prove that the planes of maximum in-plane shear stress are inclined at 45o to the principal planes.
The state of stress at a point in a soil beneath a level ground surface consists of a major principal stress of 70 kPa and a minor principal stress of 25 kPa. The major principal stress acts in the vertical direction. (a) Draw the Mohr's circle of stress and show the pole point (origin of planes). (b) Determine the maximum shear stress and calculate the orientation angle (relative to horizontal) of the plane of positive maximum shear stress. (c) Determine the normal stress and shear stress on a plane that makes an angle of -20° (i.e., 20° clockwise) relative to the horizontal plane.
5. Segment AB of the bar is a tube with an outer diameter of d1 and a wall thickness of 0.125 in. Segment BC is a solid rod of diameter d2. The average normal stresses must not exceed 3400 psi in rod AB and 6500 in rod BC, respectively. Use P1 = 3,600 lb. and P2 = 5,500 lb. 0.125 in. di В A 6 in.- 6 in. Determine the smallest allowable value of d1 (in inches). Round-off to 2-decimal places. Your answer Determine the smallest allowable value of d2 (in inches). Round-off to 2-decimal places. Your answer Вack Next Clear form Never submit pas swords through G0ogle Forms
For the structure shown, determine the following: a. The normal and shear stresses in section (ksi) b. The maximum normal stress in member BC (ksi) c. The maximum bearing stress on member AB (ksi) Pins A & C have a diameter of 34 in while pin B has a diameter of ½ in. Both members have a thickness of 0.4 in. There are two support plates at A. 1.5 in. B C 60° 8 ft 2 kip/ft A
1. Determine the equivalent state of stress on an element at the point which represents, the principal stresses and, the maximum in-plane shear stress and the associated average normal stress. Also, determine the corresponding orientations of the element. a. Use Equation Method b. Use Mohr's Circle 28 MPa 14 MPa 7 MPa
Ex. 5.3 At a point in the structural member, the stresses are represented as shown below. Employ Mohr's circle to determine (a) the magnitude and orientation of the principal stresses and (b) the magnitude and orientation of the maximum shear stress and associated normal stresses. In each case, show the results on a properly oriented element. Sol. YA 40 MPa 30 MPa 80 MPa
Determine the absolute maximum shear stress for each of the following plane stress states for which the principal stresses are given. (a) o,1=3270 psi, o,2 = -1500 psi, op3 = 0 (b) Op1 = 41 MPa, Op2 = 13 MPa, Op3 = 0 Answer: (a) Tabs max psi MPa (b) Tabs max=
1500 mm²) The assembly shown below consists of a steel (Es = 200 GPa and As tube AB and a brass (EB = 100 GPa and AB 2000 mm²) tube BC. The supports at A and C and the plate at B used to apply the 400 kN load are rigid. Prior to the load being applied, the tubes are stress-free. When the load is applied, determine (a) The normal stresses in each tube. (b) The deflection of the rigid plate at B. XXXXXXXXXX A k 200 kN- Steel 200 kN- 1.5 m B Brass | 1 ·1m → =
3. (a) Using Stress transformation equations, determine the principal planes, the principal stresses, the maximum in-plane shear stress and the corresponding normal stress. (b) Solve part (a) using Mohr's circle. 100 MPa 75 MPa 150 MPa
5- (h.w.): In a certain material under load a plane AB carries a tensile direct stress of 30 MN/m? and a shear stress of 20 MN/m2 while another plane BC carries a tensile direct stress of 20 MN/m2 and a shear stress. If the planes are inclined to one another at 30° and plane AC at right angles to plane AB carries a direct stress unknown in magnitude and nature, find :- (a) The value or the shear stress on BC. (b) The magnitude and nature of the direct stress on AC (c) The principal stresses 20 9. 300 20 nd Shells B 30 20
please solve with all steps

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